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Finding the Fourth Proportional to 120,404.46, 166,142.40 and 69,419.10

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Solution

The fourth proportional to 120,404.46, 166,142.40 and 69,419.10 is: 95,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,404.46 : 166,142.40 = 69,419.10 : x
  2. Step 2: Convert to fraction form
    120,404.46/166,142.40 = 69,419.10/x
  3. Step 3: Cross multiply
    120,404.46x = 166,142.40 × 69,419.10
  4. Step 4: Simplify right side
    120,404.46x = 11,533,455,879.84
  5. Step 5: Solve for x
    x = 11,533,455,879.84/120,404.46
  6. Step 6: Final answer
    x = 95,789.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.